目前规范标准关于组合桁架的设计尚未考虑滑移和掀起效应,直接导致栓钉设计内力不准确,并且使组合桁架刚度偏大,导致组合桁架挠度偏小,从而使得设计结果偏于不安全.同时考虑混凝土翼板和钢桁架之间的滑移和掀起效应,推导出跨中集中荷载作用下简支组合桁架掀起力的六次线性齐次微分方程,建立组合桁架轴力和掀起力的约束边界方程,并给出了精确解和近似解的解法.最后,以一个简支组合桁架以数值算例,给出了轴力和掀起力的精确解和近似解.
Considering the interfacial slip and uplift between concrete flange and steel truss, a sixth linear homogeneous differential equation is derived to calculate the uplifting force of the simply supported composite beam under concentrated load. The boundary constraint equations of axial force and uplifting force are established,and both methods obtaining exact and approximate solutions of the equations are proposed. Finally, a numerical calculation of a simply supported composite beam is carried out to obtain the approximate solution of the axial and uplifting forces using the proposed method.